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Finding the Third Proportional to 189,193.50 and 281,094.75

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Solution

The third proportional to 189,193.50 and 281,094.75 is: 417,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,193.50 : 281,094.75 = 281,094.75 : x
  2. Step 2: Convert to fraction form
    189,193.50/281,094.75 = 281,094.75/x
  3. Step 3: Cross multiply
    189,193.50x = 281,094.75 × 281,094.75
  4. Step 4: Simplify right side
    189,193.50x = 79,014,258,477.56
  5. Step 5: Solve for x
    x = 79,014,258,477.56/189,193.50
  6. Step 6: Final answer
    x = 417,637.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.